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A: Fachverband Atomphysik

A 15: Ultracold atoms and BEC - III (with Q)

A 15.2: Vortrag

Dienstag, 7. März 2017, 14:45–15:00, N 1

Novel states in a three-body system with a p-wave resonance — •Matthias Zimmermann¹, Santiago I. Betelu², Maxim A. Efremov¹, and Wolfgang P. Schleich¹ — ¹Institut für Quantenphysik and Center for Integrated Quantum Science and Technology (IQ^ST), Universität Ulm, 89081 Ulm, Germany — ²Department of Mathematics, University of North Texas, Denton, TX 76203-5017, USA

One of the most intriguing phenomena of few-body physics is the Efimov effect, which manifests itself in an infinite number of weakly bound three-body states if at least two of the three two-body subsystems exhibit a single s-wave resonance.

We present a novel class of purely quantum-mechanical bound states in the system of three particles in two dimensions provided: (i) the system consists of a light particle and two heavy bosonic ones, and (ii) the heavy-light short-range potential has a p-wave resonance. Within the familiar Born-Oppenheimer approach, the effective potential between the two heavy particles is shown to be attractive and of long-range, resulting in an infinite number of universal bound states corresponding to a vanishing total angular momentum of the three-body system.

In order to verify our analytical results we employ a numerical scheme utilizing spectral methods. This enables us to discretize the stationary Schrödinger equation in function space in order to achieve exponential convergence. We solve the resulting eigenvalue problem with the Data Vortex supercomputing system.